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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

6. Similarity Transformations

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Exercise 31 Page 599

Substitute the value of x into the second equation.

E

Practice makes perfect

We are given two equations and asked to evaluate the value of y. x=6/4p+3 xy=3/4p+3To do this, we can substitute the value of x into the second equation and simplify.

xy=3/4p+3

x= 6/4p+3

6/4p+3* y=3/4p+3

MoveRightFacToNum

a/c* b = a* b/c

6y/4p+3=3/4p+3

Next, we will multiply both sides of the equation by (4p+3) to eliminate the denominator of both fractions.

6y/4p+3=3/4p+3

LHS * (4p+3)=RHS* (4p+3)

(4p+3)*6y/4p+3=(4p+3)*3/4p+3

DenomMultFracToNumber

(4p+3) * a/(4p+3)= a

6y=3

.LHS /6.=.RHS /6.

y=3/6

a/b=.a /3./.b /3.

y=1/2

The value of y is 12. This corresponds with answer E.

Subchapter links

Exercises p.596-599